30201000648 has 192 divisors, whose sum is σ = 94874794560. Its totient is φ = 7940749824.

The previous prime is 30201000647. The next prime is 30201000673. The reversal of 30201000648 is 84600010203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30201000647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5302090 + ... + 5307782.

It is an arithmetic number, because the mean of its divisors is an integer number (494139555).

Almost surely, 2^30201000648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30201000648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437397280).

30201000648 is an abundant number, since it is smaller than the sum of its proper divisors (64673793912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30201000648 is a wasteful number, since it uses less digits than its factorization.

30201000648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 30201000648 in words is "thirty billion, two hundred one million, six hundred forty-eight", and thus it is an aban number.